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m-file environments have excellent support for complex
numbers. The imaginaryunit is denoted by
i or (as preferred in Electrical Engineering)
j .
To create complex variables
and
simply enter
z1 = 7 + j and
z2 = 2*exp(j*pi)
The table gives an overview of the basic functions for manipulating complex numbers, where is a complex number.
| m-file | |
|---|---|
| Re( ) |
real(z) |
| Im( ) |
imag(z) |
abs(z) | |
| Angle( ) |
angle(z) |
conj(z) |
In addition to scalars, m-file environments can operate on matrices. Some common matrix operations are shown in the
Table below; in this table,
M and
N are matrices.
| Operation | m-file |
|---|---|
M*N | |
inv(M) | |
M' | |
| det( ) |
det(M) |
Some useful facts:
length and
size are used to
find the dimensions of vectors and matrices, respectively..* ,
.^ and
./ .Let
.
Then
A^2 will return
,
while
A.^2 will return
.
Given a vector x, compute a vector y having elements
.
This can be easily be done the command
y=1./sin(x) Note that using
/ in place of
./ would result in the (common) error
"
Matrix dimensions must agree ".
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